The Weinstein conjecture in \(P\times {\mathbb{C}}^{\ell}\)

DOI10.1007/BF02570750zbMath0666.58019WikidataQ104144472 ScholiaQ104144472MaRDI QIDQ1116510

Andreas Floer, Claude Viterbo, Helmut Hofer

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174141

zbMATH Keywords

critical point theorycontact manifoldHamiltonian systempseudoholomorphic maps

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Variational principles in infinite-dimensional spaces (58E30) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

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Cites Work

• Pseudo holomorphic curves in symplectic manifolds
• A proof of Weinstein's conjecture in \(\mathbb R^{2n}\)
• Periodic solutions on hypersurfaces and a result by C. Viterbo
• Witten's complex and infinite dimensional Morse theory
• The existence of minimal immersions of 2-spheres
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• The unregularized gradient flow of the symplectic action
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